The following search filters can be easily edited within the Properties form -

All Statuses:

Property Type:

Are editable using the Form Manager. To get started navigate to Toolbox - Form Manager. In the Form Manager search for the Feature - Properties form and click "Edit".  If this is the first time editing the form, the default form needs to be customized. 

First search for the Feature - Properties form, then select "Customize" from the drop-down menu:

After clicking on Customize the form will open, scroll down to the property_search_status & property_search_type field:

When the updates have been completed, make sure to Save the changes:

The changes are visible upon saving the changes: